Estimação de parâmetros e análise de sensibilidade de modelos constitutivos do tecido cardíaco usando emuladores baseados em expansão em caos polinomial

Abstract

Cardiovascular diseases remain a major cause of death in humans today, highlighting the need for further exploration in this field of study. Computational studies of cardiac electromechanical activity have become a valuable tool in modern science and medicine. These simulations are based on mathematical models that describe the complex multi-scale and multi-physics functioning of the heart. These models involve numerous parameters that need to be estimated in order for the computational simulations to yield coherent results consistent with experimental data and the phenomenon under investigation. In this study, we will focus on left ventricular filling. The proposed approach involves using chaos polynomial expansion-based emulators to obtain the constitutive parameters of the Holzapfel-Ogden cardiac model. Sensitivity analysis and uncertainty quantification of the obtained parameters will be performed, along with a comparison between the parameters obtained directly and through the created emulator. The results demonstrate that the use of the emulator is an excellent alternative, providing significant gains in processing time with good accuracy.